Suppose a car moving in straight line steadly increases it's speed each seconds first from 35 to 45km/h then 40 to 45 km/h then from 45 to 50km/h, What is the acceleration?

The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are respectively:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

we shall write the equations as:

7x - 4y = -12...(1)

x - 2y = 4...(2)

multiply equation (2) by 7 to get equation (3)

7x - 14y = 28...(3)

subtract equation (1) from (3) to eliminate x

7x - 14y - 7x + 4y = 28 + 12

-10y = 40

divide through by -10

y = -4

put the value -4 for y in equation (2) to get y

x - 2(-4) = 4

x + 8= 4

x = -4

x - y = 4...(1)

2x + y = 5...(2)

Add equations (1) and (2) to eliminate y

2x + y + x - y = 5 + 4

3x = 9

divide through by 3

x = 3

put the value 3 for x in equation (1) to get y

3 - y = 4

y = -1

4x - 3y = 17...(1)

2x - 5y = 5...(2)

multiply equation (2) by 2 to get equation (3)

4x - 10y = 10...(3)

subtract equation (3) from (1) to eliminate x

4x - 3y - 4x - 10y = 17 - 10

7y = 7

divide through by 7

y = 1

put the value 1 for y in equation (2) to get y

2x - 5(1) = 5

2x - 5 = 5

x = 5

5x + 6y = -6...(1)

7x - 3y = -54...(2)

multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)

35x + 42y = -42...(3)

35x - 15y = -270...(4)

subtract equation (4) from (3) to eliminate x

35x + 42y - 35x + 15y = -42 + 270

57y = 228

divide through by 57

y = 4

put the value for y in equation (1) to get x

5x - 6(4) = -6

5x + 24 = -6

x = -6

Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

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Answer:

6

Step-by-step explanation:

Answer:

scalene, right triangle

Step-by-step explanation:

Determine whether it is a triangle and the triangle's type:

Answer: scalene, right triangle

Answer:

[tex]\huge\boxed{\sf c = 3.1\ yards}[/tex]

Step-by-step explanation:

a = 2.7 yards

b = 1.6 yards

c = hypotenuse

Using Pythagoran Theorem:

[tex]c^2=a^2+b^2[/tex]

c² = (2.7)² + (1.6)²

c² = 7.29 + 2.56

c² = 9.85

c = √9.85

[tex]\rule[225]{225}{2}[/tex]

The area of Gavin's bedroom is 120 square feet.

Square feet can be defined as the area of a square with sides of 1 foot.

Let B be the area of Gavin's bedroom in square feet.

According to the problem, the area of Gavin's kitchen is 10 square feet more than one-third of the area of his bedroom. So we can write:

Area of kitchen = (1/3)B + 10

We also know that the area of the kitchen is 50 square feet. So we can set up an equation:

(1/3)B + 10 = 50

Subtracting 10 from both sides, we get:

(1/3)B = 40

Multiplying both sides by 3, we get:

B = 120

Therefore, the area of Gavin's bedroom is 120 square feet.

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A. (8 * t) + (8 * 8) is equivalent to 8t + 64

B. 4t + 8 + 4t is equivalent to 8t + 8

C. 4(2t + 2) is equivalent to 8t + 8

D. 8t + 64 is equivalent to 8t + 64

E. 8t + 16 is equivalent to 8t + 16

F. (8 + t) + (8 + 8) is equivalent to 16 + t.

So the expressions that are equivalent to 8(t + 8) are B and C, the expression that is equivalent to 8t + 8 is E, and the expression that is neither is F.

In the given problem, we are comparing the given expressions to see if they are equivalent to 8(t + 8), 8t + 8, or neither.

Expression A: (8 * t) + (8 * 8) = 8t + 64

This expression is equivalent to 8t + 64, which is not the same as 8(t + 8) or 8t + 8.

Expression B: 4t + 8 + 4t = 8t + 8

This expression is equivalent to 8t + 8, which means that adding up 4t and 8, and then adding 4t again to the result is the same as multiplying 8 with t and adding 8 to the result.

Expression C: 4(2t + 2) = 8t + 8

This expression is also equivalent to 8t + 8, which means that multiplying 2t + 2 with 4 is the same as multiplying 8 with t and adding 8 to the result.

Expression D: 8t + 64 = 8t + 64

This expression is the same as 8t + 64, which is not equivalent to either 8(t + 8) or 8t + 8.

Expression E: 8t + 16 = 8t + 16

This expression is the same as 8t + 16, which is not equivalent to either 8(t + 8) or 8(t + 8).

Expression F: (8 + t) + (8 + 8) = 16 + t

This expression is not equivalent to either 8(t + 8), 8t + 8, or neither.

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--The question is incomplete, answering to the question below--

"Drag each expression to show whether it is equivalent to 8(t + 8), 8t + 8, or neither.

A. (8 * t) + (8 * 8)

B. 4t + 8 + 4t

C. 4(2t + 2)

D. 8t + 64

E. 8t + 16

F. (8 + t) + (8 + 8)"

Answer:

f(n) = 10 + 3n

Step-by-step explanation:

Each of the expressions has 10 + a certain number of 3's

For example for n = 3 we have
f(3) = 10 + 3 threes = 10 + 3 x 3 = 10 + 9 = 19

For n = 4, we have

f(4) = 10 + 4 threes = 10 + 4 x 3 = 10 + 12 = 22

The others follow the same pattern

So the explicit equation is

f(n) = 10 + 3n

Testing on n = 6 we get

f(6) = 10 + 6n = 10 + 6 x 3 = 10 + 18 = 28

The radius of the cylinder is approximately 5.88 inches.

What are equivalent equations?

Equivalent equations are algebraic equations that are having identical roots or solutions.

We can solve the given equation to find the radius of the cylinder using the volume and height information

3.14 * 11 * r² = 1243.44

First, divide both sides by 3.14*11 to isolate r²:

[tex]r^2 = 1243.44 / (3.14 * 11)[/tex]

r² ≈ 34.585

Taking the square root of both sides, we get:

r ≈ 5.88

Hence, the radius of the cylinder is approximately 5.88 inches.

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Answer:

74.2

Step-by-step explanation:

Median is another word for average amount.

So if you add the numbers 56, 65, 77, 81, and 92 you would end up with 371.

To get an average, or the median, you take the numbers, add them together, then divide the answer by how ever many numbers you had.

In this case, you had 5, so

56+65+77+81+92=371

then divide by 5 so

371/5=74.2

Answer:

2(-3x+2)^2 -1

Step-by-step explanation:

so first you would find that f(g(x)) = f(-3x+2)

next plug in

f(-3x+2) = 2x^2-1

to every x

f(-3x+2) = 2(-3x+2)^2-1

Based on the information provided, it's not possible to say who is winning without knowing the specific game and how points are scored and awarded.

The statement "has -6 points give or take 4 points" doesn't provide a specific range of points that your friend could have, so we can't use this information to determine a winner.

Additionally, using a number line to compare two points of -3 and -6 is not helpful in determining who is winning in the game because it only shows their relative values, not the actual rules of the game and how points are scored.

It would be best to ask the friend to clarify their score and the rules of the game to determine who is winning.

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Both clusters are relevant to her career.

Cluster is derived from the old english word clyster, which means a group. Cluster is now used as both a noun and a verb.

The army sergeant who works as a trauma surgeon is probably in the Health Services and Government and Public Administration clusters.

Health Services occupations include diagnosing, treating, and preventing illnesses and injuries, while Government and Public Administration occupations include planning, managing, and providing government functions and services. The individual is a member of the military, which is a government organisation, and a trauma surgeon, which is a part of the healthcare industry. As a result, both clusters are pertinent to her career.

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Answer: First find your given information:

D=6 miles (3 miles there + 3 miles back)

T=1 hour

Vwind= 3 mph

We're going to assume that the wind's velocity is always in opposite direction to Mr. Lee so:

VFinal = VMr. Lee - Vwind

We also know that VFinal=D/T

So D/T = VMr. Lee - Vwind

Rearrange to get VMr. Lee = D/T + Vwind

Plug in your given info to get VMr. Lee = (6 miles)/(1 hours) + 4 mph or 10 mph

Tno wind= D/VMr. Lee or (6 miles/10 mph)

Tno wind=0.6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 3/4 + 11 1/4 = 15

1/3 of 11 1/4 is 3.75 or 3 3/4. I added 3 3/4 to 11 1/4, and checked my answer, which was 15, by dividing it by four.

I know its confusing sorry, I hope you understand ^^

Answer:

For question 2, Ethan needs 3 cups of milk to make the batter for 3 times as many cakes.

For question 3, Isabella needs 5/4 of a gallon of the food to make 5 gallons of the mixture.

The temperature conversion from Celsius to Fahrenheit is calculated using the following formula: Fahrenheit = (Celsius x 1.8) + 32. Increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

To convert a temperature of 36 degrees Celsius to Fahrenheit, we first multiply 36 by 1.8 to get 64.8, then add 32 to that result to get 96.8 degrees Fahrenheit. In other words, 36 degrees Celsius is equal to 96.8 degrees Fahrenheit. To better understand this conversion, it helps to remember that 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. The two scales are offset by 32 degrees, meaning that for every degree Celsius, the equivalent Fahrenheit temperature is 1.8 degrees higher. For example, 10 degrees Celsius is equivalent to 50 degrees Fahrenheit (10 x 1.8 = 18 + 32 = 50). Thus, increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

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The magnitude of the horizontal and vertical components are 21.33 m/s and 38.48 m/s

From the question, we have the following parameters that can be used in our computation:

Velocity = 44 meters per second

Direction = S 61° E

This means that

V = 44 and angle = 61°

The direction angle is 61° from the positive x-axis (E), so we can use the following trigonometric relationships to find H and V:

H = 44 * cos(61°) --- horizontal

V = 44 * sin(61°) --- vertical

Using a calculator, we can find that:

H = 21.33 m/s

V = 38.48 m/s

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Answer:

Your answer would be (x, y) = (0, 0)

Step-by-step explanation:

Please refer to the screenshot underneath.

The Point A on the number line is 2 1/2

From the question, we have the following parameters that can be used in our computation:

The number line

On the number line, we have

A = Halfway between 2 and 3

Using the above as a guide, we have the following:

A = (2 + 3)/2

Evaluate

A = 2 1/2

Hence, the position is 2 1/2

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To solve the exponential equation 23^x = 6, take the logarithm base 23 of both sides to get x = log base 23 of 6.

Angie, to solve the exponential equation 23^x = 6, you need to find the value of x such that when you raise 23 to the power of x, you get 6. To do this, you can use logarithms.

In particular, you can use the logarithmic function log_23. The log_23 of a number y is the exponent x such that 23^x = y. So, to solve the equation 23^x = 6, you can take the log_23 of both sides:

log_23(23^x) = log_23(6)

x = log_23(6)

The right side of this equation can be evaluated using a calculator or logarithmic tables. Once you have the value of x, you will have solved the exponential equation.

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The roots of the equation is x = -20

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The leading coefficient of the equation is -1

And , the constant term is -20

Now , according to rational root theorem ,

So , the equation is

-x - 20 = 0

Adding x on both sides of the equation , we get

x = -20

Therefore , the value of x is -20

Hence , the equation is x = -20

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The difference between AIC and BIC penalty lies in their approach to model selection.

AIC (Akaike Information Criterion) is a measure of the goodness of fit of a statistical model. It is used to compare different models and select the one that fits the data best. AIC is based on the principle of maximum likelihood, which means it is more focused on finding the model that fits the data best.

On the other hand, BIC (Bayesian Information Criterion) is a criterion for model selection based on the Bayesian approach. It is also used to compare different models, but it takes into account the complexity of the model. BIC tends to favor simpler models, and it is more focused on finding the model that is most likely to be true given the data.

In summary, AIC is more focused on finding the model that fits the data best, while BIC is more focused on finding the model that is most likely to be true given the data.

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Amongst the options circle shape from the Clade Race would be considered plesiomorphic.

A primitive or ancestral character state is called plesiomorphy or known as a plesiomorphic character), and a shared plesiomorphy is called a symplesiomorphy. For example, let us take an example of hair. It is a unique mammalian character that evolved with the evolution of mammals.

The term apomorphy means a specialized or derived character state which is plesiomorphy. It refers to a primitive or ancestral trait. An same as autapomorphy, it is a derived trait that is unique to one group, while a same as synapomorphy is a derived trait shared by two or more groups.

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No, the expression −  + 3 × 5 −  2 −a+3a 5 −a 2 is not a polynomial.

In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers. Expressions can be complex, and often appear in the form of equations or formulas. Examples of expressions include equations, polynomials, functions, matrices and more.

A polynomial is an expression that is a sum of one or more terms, each of which is the product of a constant and a non-negative integer power of a variable. In the expression given, the exponent of the variable a is negative, which does not meet the criteria to be considered a polynomial.

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Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

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Answer:

6 grams of sugar in 3/4 liter.

Explanation:

Recall that two 1/4 portions is equal to 1/2.  So if 1/2 liter has 4 grams, 1/4 liter will have 2 grams of sugar.

Every 1/4 liter will have 2 grams of sugar.

Therefore, 3/4 liter will have 3 times as much sugar as 1/4 liter.  The amount of sugar in 3/4 liter will be 3 times 2 grams or 6 grams of sugar in 3/4 liter

The total cost will be $21 for the bowling alley.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that a bowling alley charges $3 plus tax for each pair of shoes and $4 plus tax for each player every game. If you and a friend hire a pair of shoes and bowl three games.

The total cost will be calculated as:-

Cost = ( 3 + 4 ) x 3

Cost = 7 x 3

Cost = $21

Therefore, the total cost will be $21.

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